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1、設z=a+bi,其中a、b都是實數.若z是實數,則b=0,即z=z的共軛;反之,若z=z的共軛,則a+bi=a-bi,有b=0,此時z為實數. 2、z是虛數,此時z+z的共軛=2a,是實數;反之,若z+z的共軛是實數,即得到z+z的共軛=2a是實數,z未必是虛數.
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